- #1
cscott
- 782
- 1
An object falling from some point in the air (near the surface) with air friction, R = kv.
So,
[tex] m\frac{dv}{dt} = mg - kv[/tex]
Seperate variables for
[tex]\int \frac{m}{mg - kv} \cdot dv = \int dt[/tex]
and for the LHS I use integration by parts, so,
[tex](m)(mgv - \frac{1}{2}kv^2) - \int mgv - \frac{1}{2}kv^2 \cdot dv = t[/tex]
am on the right track here?
So,
[tex] m\frac{dv}{dt} = mg - kv[/tex]
Seperate variables for
[tex]\int \frac{m}{mg - kv} \cdot dv = \int dt[/tex]
and for the LHS I use integration by parts, so,
[tex](m)(mgv - \frac{1}{2}kv^2) - \int mgv - \frac{1}{2}kv^2 \cdot dv = t[/tex]
am on the right track here?